As noted in A FULL BAYESIAN APPROACH FOR INVERSE PROBLEMS, let $ y = Ax + n$, where $x$ is a $m$ dimensional signal and $n$ is white Gaussian noise with precision $\beta$, so we have:
$$
y|x, \beta ...

My background is the very basics, and I mean, literally, I can add, sub,mul,div and a little of algebra (near, nothing) and that's it.
As you can see I need the best Total Beginner Book(s) that can ...

I am looking for a robust way to represent and generate multiple stochastic processes that contain time and cross-correlations i.e. I am looking at stochastic processes $X_t^{1}$, $X_t^{2}$, $\ldots$, ...

I'm fairly new to compressive sensing, and I have been looking for a MATLAB implementation of the problem
$$
A x = b
$$
where $A$ is non square, $x$ is kind of sparse and all the numbers involved are ...

I want to analyse data corresponding to events happening at arbitrary moments in time, and conveying quantitative information. My goal is to study the relationship between the sum of these quantities ...

So this is probably a simple question, but I am unable to get my head around it. If we have $\operatorname{sinc}(2 \pi v L)$, what is the width of that $\operatorname{sinc}$ in terms of $v$ at half ...

For a system govern by the equation:
$$
2y'(t) +4y(t) =3x(t)
$$
To calculate it's impulse response we replace $y(t)$ with $h(t)$ and $x(t)$ with $\delta(t)$ and get
$2h'(t)+4h(t)=3\delta(t)$ which's ...

I was studying "continuous and discrete signals and systems" by Samir S. Soliman where I encountered with this first order differential equation:
$$
\frac{dy(t)}{dt} + \frac{R_1R_2}{L(R_1+R_2)}y(t) = ...

As an exercise, I attempted to manually translate a pulse $n_0$ steps to the right and recover the translation using the time-shift property. The problem I'm encountering is that the phase unwrapping ...

In particular, I want to know the range of the coefficients on the type-IV discrete cosine transform. Assuming no normalization factor or window is applied, what interval can I expect the coefficients ...

I want to ask basic question. In our mathematics classes ,while teaching the Fourier series and transform topic,the professor says that when the signal is periodic ,we should use Fourier series and ...